Reasoning

Logic and Fallacies

1,803 Questions

Understand the fundamentals of propositional logic, logical inference rules, and paradoxes. This set includes identifying logical fallacies, including those found in classical Nyaya logic. Strong grasp of these concepts is crucial for scoring well in the reasoning sections of competitive tests.

Propositional logic modelsLogical inference rulesTypes of logical fallaciesParadoxes and contingent truthsNyaya logic concepts

Logic and Fallacies Questions

Multiple choice

What is the term for a fallacy that involves presenting a distorted or exaggerated version of an opposing argument in order to make it easier to attack?

  1. Straw man

  2. False dichotomy

  3. Red herring

  4. Ad hominem
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Straw man is the fallacy of presenting a distorted or exaggerated version of an opposing argument in order to make it easier to attack. It involves creating a weaker version of the opposing argument and then refuting that weaker version, rather than addressing the actual argument.

Multiple choice

What are the three types of valid inferences recognized by Nyaya philosophy?

  1. Deductive, Inductive, and Abductive

  2. Categorical, Hypothetical, and Disjunctive

  3. Immediate, Mediate, and Ultimate

  4. Affirmative, Negative, and Universal
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Nyaya philosophy distinguishes between three types of valid inferences: categorical (where the conclusion is directly derived from the premises), hypothetical (where the conclusion is derived from a conditional statement), and disjunctive (where the conclusion is derived from a set of alternatives).

Multiple choice

Which of the following is not a necessary condition for a scientific explanation?

  1. The explanation must be true.

  2. The explanation must be supported by evidence.

  3. The explanation must be able to be tested.

  4. The explanation must be able to be falsified.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A scientific explanation does not need to be true in order to be a good explanation. It only needs to be supported by evidence and be able to be tested.

Multiple choice

Which of the following is NOT a consequence of the TOE?

  1. The unification of all the fundamental forces of nature

  2. The existence of extra dimensions

  3. The existence of parallel universes

  4. The ability to travel faster than the speed of light
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The TOE does not imply that it is possible to travel faster than the speed of light. This is a fundamental limitation imposed by the laws of physics and is not affected by the TOE.

Multiple choice

Which of the following is a major challenge in the study of Indian logic?

  1. The lack of a unified and standardized terminology

  2. The diversity of logical systems and theories

  3. The influence of Western logic on the study of Indian logic

  4. The scarcity of primary source materials
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The lack of a unified and standardized terminology is a major challenge in the study of Indian logic, as it makes it difficult to compare and contrast different logical systems and theories.

Multiple choice

Which of the following is a tautology?

  1. ¬(P ∨ Q)

  2. (P ∧ Q) → P

  3. (P → Q) ∨ (Q → P)

  4. ¬(P → Q) → (P ∧ Q)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A tautology is a compound proposition that is always true, regardless of the truth values of its component propositions. In this case, (P → Q) ∨ (Q → P) is a tautology because it is always true, no matter whether P and Q are true or false.

Multiple choice

What is the law of syllogism?

  1. If P → Q and Q → R, then P → R.

  2. If P → Q and Q → R, then R → P.

  3. If P → Q and Q → R, then P → ¬R.

  4. If P → Q and Q → R, then ¬P → ¬R.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The law of syllogism is a rule of inference that allows us to derive a new conclusion from two given premises. In this case, the law of syllogism states that if we have two premises "P → Q" and "Q → R", then we can conclude that "P → R".

Multiple choice

Which of the following is an example of a modal proposition?

  1. It is raining.

  2. All dogs are mammals.

  3. It is possible that it will rain tomorrow.

  4. 2 + 2 = 4.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A modal proposition is a proposition that contains a modal operator, such as "possible", "necessary", or "impossible". In this case, the proposition "It is possible that it will rain tomorrow" is a modal proposition because it contains the modal operator "possible".

Multiple choice

Which of the following is an example of a valid inference rule?

  1. Modus ponens

  2. Modus tollens

  3. Hypothetical syllogism

  4. Disjunctive syllogism
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Modus ponens is a valid inference rule that allows us to derive a new conclusion from two given premises. The rule states that if we have two premises "P → Q" and "P", then we can conclude that "Q".

Multiple choice

What is the name of the philosophical theory that states that mathematical truth is discovered through logical reasoning and proof?

  1. Formalism

  2. Intuitionism

  3. Constructivism

  4. Empiricism
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Formalism is the philosophical theory that states that mathematical truth is discovered through logical reasoning and proof.

Multiple choice

Which of the following is NOT a common objection to Constructivism?

  1. Constructivism makes mathematics subjective and dependent on the individual's beliefs.

  2. Constructivism cannot account for the objectivity and universality of mathematical truth.

  3. Constructivism is too narrow and does not allow for the possibility of mathematical discovery.

  4. Constructivism is too abstract and divorced from the real world.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Constructivism is generally criticized for making mathematics subjective and dependent on the individual's beliefs, not being able to account for the objectivity and universality of mathematical truth, and being too narrow and not allowing for the possibility of mathematical discovery, not for being too abstract and divorced from the real world.

Multiple choice

Which of the following is NOT a common view of the nature of mathematical proof?

  1. Mathematical proof is a logical argument that demonstrates the truth of a mathematical statement.

  2. Mathematical proof is a formal demonstration that a mathematical statement is true.

  3. Mathematical proof is a convincing argument that a mathematical statement is true.

  4. Mathematical proof is a process of discovering new mathematical knowledge.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Mathematical proof is generally considered to be a logical argument that demonstrates the truth of a mathematical statement, a formal demonstration that a mathematical statement is true, and a convincing argument that a mathematical statement is true, not a process of discovering new mathematical knowledge.

Multiple choice

In a game with complete information, players:

  1. Have perfect knowledge of the game's rules, strategies, and payoffs

  2. Have incomplete information about the game's rules, strategies, and payoffs

  3. Have no information about the game's rules, strategies, and payoffs

  4. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In a game with complete information, players have perfect knowledge of the game's rules, strategies, and payoffs.

Multiple choice

In a game with incomplete information, players:

  1. Have perfect knowledge of the game's rules, strategies, and payoffs

  2. Have incomplete information about the game's rules, strategies, and payoffs

  3. Have no information about the game's rules, strategies, and payoffs

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a game with incomplete information, players have incomplete information about the game's rules, strategies, and payoffs.

Multiple choice

A Type I error in hypothesis testing occurs when:

  1. The null hypothesis is rejected when it is true

  2. The null hypothesis is accepted when it is false

  3. The alternative hypothesis is rejected when it is true

  4. The alternative hypothesis is accepted when it is false
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A Type I error involves rejecting a true null hypothesis, leading to an incorrect conclusion.